New posts in fourier-transform

Fourier transform of a radial function is radial

Proving that the characteristic function of $f(x)=\frac{1-\cos(x)}{\pi x^2}$ is $\max(1-|t|,0)$

How to evaluate $ \int_{0}^{\infty} xe^{-ix(a-b)} d x $

Relation between Fourier transform and uncertainty principle

Summation of $\sum_{n=0}^{\infty}a^nq^{n^2}$

Do flat functions with flat Fourier transform exist?

Fourier transform of a triangular pulse

Fourier transform as exponential of Hermitian operator

Verify my understanding of a math joke.

Exercise involving DFT

Solving an initial value ODE problem using fourier transform

Dirac Delta and Exponential integral

Fourier transform of $|x|^{-m}$ for $m\geq n$ in $\mathbb R^n$

Fourier transform of $2\pi$-periodic function

Why is $\hat f(\xi)/\xi\in L^1(\mathbb R)$ when $f\in L^1$ is odd,$\hat f'(0)$ exists, and $\hat f(\xi)$ always has the same sign as $\xi$?

Is there a way to relate prime numbers and the Fourier transform?

Proving that : $ \left|\int_a^b\frac{\widehat{f}(\xi)}{\xi}d\xi\right|\le 4 \|f\|_1$ for all $a,b$ and all $f$

An apparent counterexample of the derivative proprety of Fourier transform

Closed form for an integral involving the incomplete Gamma function?

uncertain orthogonality of discrete Fourier transform on the ring of integers modulo some number